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On Some Axiomatic Extensions of the Monoidal T-Norm Based Logic Mtl : An Analysis in the Propositional and in the First-Order Case / / Bianchi, Matteo



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Autore: Bianchi Matteo Visualizza persona
Titolo: On Some Axiomatic Extensions of the Monoidal T-Norm Based Logic Mtl : An Analysis in the Propositional and in the First-Order Case / / Bianchi, Matteo Visualizza cluster
Pubblicazione: Ledizioni, 2011
Milan, Italy : , : Ledizioni LediPublishing, , [2011]
©2011
Descrizione fisica: 1 online resource (162 pages) : illustrations
Soggetto topico: Mathematics
Soggetto non controllato: Mathematical
Note generali: Bibliographic Level Mode of Issuance: Monograph
Nota di bibliografia: Includes bibliographical references and index.
Sommario/riassunto: The scientific area this thesis belongs to is many-valued logics: this means logics in which, from the semantical point of view, we have "intermediate" truth-values, between 0 and 1 (which in turns are designated to represent, respectively, the "false" and the "true"). The classical logic (propositional, for simplicity) is based on the fact that every statement is true or false: this is reflected by the excluded middle law, that is a theorem of this logic. However, there are many reasons that suggest to reject this law: for example, intuitionistic logic does not satisfy it, since this logic reflects a "constructive" conception of mathematics (see [Hey71, Tro69]).
Titolo autorizzato: On some axiomatic extensions of the monoidal T-norm based logic MTL.  Visualizza cluster
ISBN: 9788895994567 (PDF)
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910140521503321
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